一类具年龄结构的周期种群系统的最优收获  

Optimal Harvesting of a Class of Periodic Population Systems with Age Structure

作　　者：贺亚权 HE Yaquan(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《滨州学院学报》2023年第4期69-73,共5页Journal of Binzhou University

基　　金：国家自然科学基金项目(11561041)。

摘　　要：考虑一类具年龄结构的周期种群系统的最优收获问题。利用压缩映射原理研究了系统解的存在唯一性;构造了极值化序列,运用解的比较结论和Mazur定理证得了最优收获控制问题最优解的存在性;构建了适当的共轭方程,利用法锥概念的刻画,得出了最优收获控制问题最优解的一阶必要条件。Considering the optimal harvest problem of a class of periodic population systems with age structure,the existence uniqueness of the system solution is studied by the principle of compression mapping.And then the extremization sequence is constructed,and some comparative conclusions of the solutions and Mazur theorem are used to verify the existence of the optimal solution of the optimal harvest control problem.And finally,the appropriate conjugated equation is constructed,and the first-order necessary conditions for the optimal solution of the optimal harvest control problem is derived by using the characterization of the conic concept.

关 键 词：周期 最优收获 年龄结构 法锥 

分 类 号：O175[理学—数学]